1. Find the area of the shaded sector.
2. Find the length of the arc defined by the sector.

1. Find The Area Of The Shaded Sector.2. Find The Length Of The Arc Defined By The Sector.

Answers

Answer 1

Answer:

1. 150π sq.ft  2. 10π ft

Step-by-step explanation:

Part 1

Equation: Area of a sector = [tex]\frac{x}{360}[/tex] × π[tex]r^{2}[/tex]

Where:

x = internal angle

r = radius of circle

Values from problem:

x = 60

r = 30

Plug values into equation:

Area of sector = [tex]\frac{60}{360}[/tex] × π[tex]30^{2}[/tex]

Simplify:

60 divided by 30 equals [tex]\frac{1}{6}[/tex] and 30 squared equals 900 so...

[tex]\frac{1}{6}[/tex] × 900π

900π divided by 6 equals 150π so...

[tex]\frac{900}{6}[/tex] × π = 150π

150π sq. ft

Part 2

Equation: Arc length = [tex]\frac{x}{360}[/tex] × 2πr

Where:

x = internal angle

r = radius of circle

Values from Problem:

x = 60

r = 30

Plug values into equation:

Arc length = [tex]\frac{60}{360}[/tex] × 2π30

Simplify:

60 divided by 360 equals [tex]\frac{1}{6}[/tex], and 2π × 30 equals 60π so...

[tex]\frac{1}{6}[/tex] × 60π

60π divided by 6 is 10π

[tex]\frac{60}{6}[/tex]π = 10π

10π ft


Related Questions

Which triangles are similar?

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Answer:

c

Step-by-step explanation:

-4 ≥ k - 2
Solve the inequality

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Answer:

-2 ≥ k

Step-by-step explanation:

First you have to use inverse operation and add 2 on both sides. You should get -2 ≥ k as your answer.

Answer:

k ≤ -2

Step-by-step explanation:

move -4

you will get -2

move k

k ≤ -2

HELP PLEASE
A farmer has decided to divide his land area in half in order to plant soy and corn. Calculate the area of the entire area so he knows how much soil is needed.


Each bag of soil covers 40 square yards. How many bags should the farmer purchase?

1 bag
2 bags
3 bags
4 bags

Answers

i think 2 bags or 1 bags hope it helps

The area of the farmer's land is 54 square yards and number of bags needed is 2. The correct option is (B).

What is a triangle?

A triangle is a two dimensional shape bound by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.

For the given diagram, the following data is given as,

Base of the upper and lower triangle is 6.5 + 2.5 = 9 yards.

And, the height is given as 6 yards.

Now, the area of the land can be given as,

Area of upper triangle + Area of lower triangle

⇒ 1/2 × 9 × 6 +  1/2 × 9 × 6

⇒ 54 square yards.

As per the question, the area of the land is more than the soil contained in 1 bag.

Which implies the number of bags required is given as 2.

Hence, the area of land and number of bags required is obtained as  54 square yards and 2 respectively.

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what is the 34th term in the sequence 7,12,17​

Answers

Answer:

172 is the 34th term

Please help thank you

Answers

Answer:

<BCE=76

Step-by-step explanation:

<BCD-<ECD=<BCE

147-71=76

what is the radius of a hemisphere that has a volume of 36?

Answers

i hope this helps you!

Jonah calculates that the perimeter of the rectangle below is 6 1/4x - 3. Explain his error and include the correct expression.

Answers

Answer:

Jonah left out the other two sides!

6. Elizabeth drew a rectangle on a coordinate grid. How could she transform the rectangle to produce an image that is not congruent to the original rectangleA. Reflect it over the y-axis
B. Translate it 3 units right and 6 units up
c. Dilate it by a scale factor of 5
D. All of the above​

Answers

Answer:

C I think

Step-by-step explanation:

What is the equation of the line in y=mx+b format? BRAINLIST WILL BE REWARDED

Answers

Answer:

y = 2/5x - 1

Step-by-step explanation:

There are a couple of different ways to figure this out, but since you have a graph, the fastest way is to count the slope, or m in the formula, by counting the rise (units up) over run (units to the right), which is 2/5. Then, find the value of b by finding the y-intercept on the graph, or -1.

Helpp I’ll mark you brainlist

Answers

9514 1404 393

Answer:

  an = n + 1

Step-by-step explanation:

This arithmetic sequence has a first term of 2 and a common difference of ...

  3 - 2 = 1

The general term is ...

  an = a1 + d(n-1)

Using a1=2 and d=1, this is ...

  an = 2 +1(n -1)

  an = 2 + n - 1 . . . . . eliminate parentheses

  an = n + 1 . . . . . . . .collect terms

Draw the graph of the equation x − y = 4
Answer the following using graph paper:
(i) Find the value of y, if x = 7 from the graph.
(ii) Write the coordinate of the point where the graph intersect on x − axis.

Answers

Answer:

We have the equation:

x - y = 4

We can write this as a linear equation in the slope-intercept form if we isolate the variable y.

We get:

y = x - 4

Now to graph this function, we need to evaluate x in two different points and get two points (x, y) of the line.

If we use x = 1 and x = 2, then we get:

y(1) = 1 - 4 = - 3

Then we have the point (1, -3)

and:

y(2) = 2 - 4 = - 2

Then we have the point (2, - 4)

Now we need to draw these two points in the coordinate axis, and draw a line that connects the points, the example can be seen in the image below.

a) To use the graph, we need to locate the value x= 7 in the x-axis.

Then draw a vertical line

In the point where the vertical line intersects the graph, we draw an horizontal line.

The y-value will be the value at which this horizontal line intersects the y-axis

In this case, is at  y = 3.

Then when x = 7, y = 3.

(you can see it in the graph)

ii) The coordinate at which the graph intersects the x-axis can be seen in the graph, it is the point (0, 4)

PLS HELP WILL GIVE BRAINLIEST!! Identify this set of lines as parallel, perpendicular, or neither.

Answers

Answer:

It will be neither. Also, thanks for the points friend

Step-by-step explanation:

Answer:

The answer is neither.

Step-by-step explanation:

y=x+4 in a verbal situation

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Answer:

i hope thos help u

Step-by-step explanation:

i hope this graph help u

Answer: The number of doughnuts that Teresa, y, is the four more than x, the number of doughnuts Thomas has.

Step-by-step explanation: So if Thomas had 10 doughnuts, Teresa would have 14. If Teresa had 36 doughnuts, Thomas would have 32.

The perimeter of a rectangle is 54 cm. The width is 1 cm shorter than the length. What is the length and width of the rectangle

Answers

Answer:

13 is the width and 14 is the length

Step-by-step explanation:

I divided 54 and got 13.5 then I started adding random numbers around 13 like 12+12+13+13 that didn't work it came out to 50 so I went up and did 13+13+14+14 and got my answer

how do you find the x-intercept and y-intercept of an exponential function by looking at a graph

Answers

Answer:

You can find the x-intercept and y-intercept by looking at the origin (0,0). There you will see x and y point at zero.

Step-by-step explanation:

Hope this Helped

A box of cereal costs $3.69. The box has 13.7 ounces of cereal. About how much does each ounce cost?

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Answer:

HELP ME W MY PROBLEMS ASAP PLSSSS

Step-by-step explanation:

I’m sooo confused rn please help pleaseeeeeee

Answers

Answer:

i believe the answer is c

Step-by-step explanation:

i'm not entirely sure but i hope this helps :)

have a nice day !!

**please let me know if this was wrong**

 

Answer:

B & C

Step-by-step explanation:

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In the following diagram BCD, AC = BC and mZACD=136 , which of the following is m (1) 22
(3) 44
D
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(4) 74


Answers

Answer:

2) 68°

Step-by-step explanation:

The required answer is 68°

I NEED HELP ITS KINDA EASY BUT NOT FOR ME

Answers

Answer:

28m

Step-by-step explanation:

Formula of area

AREA = LENGTH (multiply) BREATH

Answer:

The area of a triangle can be calculated with the formula: 1/2(bh), where b is the base length, and h is the height.

In this case, 4 is the base, and 7 is the height.

So we have: Area = 1/2(4)(7)

Simplifying: Area = 2(7), Area = 14.

The area of the triangle is 14 meters squared.

Let me know if this helps!

Harry buys a TV priced at £1200 plus 20% VAT.
He pays £300 deposit and the balance in ten equal monthly payments .
Calculate each monthly payment.

Answers

Answer:

114

Step-by-step explanation:

20% of 1200= 240

so total price is 1200+220=1440

he pays 300 beposit

1440-300=1140

now 1150 must be paid in 10 installments equally

11400÷10=114 is the answer

mrs patrick is employed by a clothing store.She recieves a 6% commission plus a small sallary. Last week she sold $8419 in clothing how much commission did mrs patrick receive

this is a story problem btw :)

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Step-by-step explanation:

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you have a quand app

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Answer:

Step-by-step explanation:

10% discount means you pay 90% of the original cost x.

90% of x = $40.50

0.90x = $40.50

x = $40.50/0.90 = $45

:::::

total cost = 1.065·$40.50 ≅ $43.13

.............................

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Answer:

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Step-by-step explanation:

140 ÷ 3.5 = 40

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In a video game, a guppy that escapes a net turns into three goldfish. Each goldfish can turn into two betta fish. Each betta fish can turn into two angelfish. Complete the diagram and write the number of fish at each stage. Write and evaluate an expression for the number of angelfish that can be formed from one guppy

Answers

Answer: 1 guppy = 3 goldfish

1 goldfish = 2 betta fish.....so 3 goldfish = (3 * 2) = 6 betta fish

1 betta fish = 2 angel fish....so 6 beta fish = (6 * 2) = 12 angel fish

so the number of angelfish that can be formed by 1 guppy is 12 angelfish

A thunderstorm travels at a constant speed. In 15 minutes , the storm travels 12 miles. If the storm continues to travel at the same rate, how far would it travel in 90 minutes?

Answers

Answer: 72 Miles In 90 Minutes

Step-by-step explanation: First, you have to divide both 15 & 12 by 15, (which represents minutes), and you get 1 over 0.8. Next, you multiply 1 over 0.8 times 90, which gibes you 90/72. There is your answer! I hope that you found this helpful.

Here is the equation below:

15/12 divided by 15/15 = 1/0.8 x 90/90 = 90 MINUTES/72MILES

Jahahdbdb pls help I’m failing geometry and rlly need to pass this semester. I’m really bad at smth.

Answers

Answer:

I dont know this but try Alpha Wolfram, its for all math and its sooo helpful (for future reference)

Step-by-step explanation:

(:

PLEASE HELP- A triangle has vertices A(0, 0), B (9, 4), and C(–2, 10). What are the coordinates of the triangle after a dilation with a scale factor of 1/2 ?

Answers

Basically multiply the x and y coordinates of each point by 1/2

For example, I'll do C which is ( -2 , 10 )

-2 * 1/2 = -1 and 1/2 * 10 = 5

The new coordinate is ( -1 , 5 )

Now you can try the other points

:D

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